252583085329 has 2 divisors, whose sum is σ = 252583085330. Its totient is φ = 252583085328.

The previous prime is 252583085309. The next prime is 252583085351. The reversal of 252583085329 is 923580385252.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 252461027025 + 122058304 = 502455^2 + 11048^2 .

It is a cyclic number.

It is not a de Polignac number, because 252583085329 - 2⁵ = 252583085297 is a prime.

It is not a weakly prime, because it can be changed into another prime (252583085309) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126291542664 + 126291542665.

It is an arithmetic number, because the mean of its divisors is an integer number (126291542665).

Almost surely, 2^252583085329 is an apocalyptic number.

It is an amenable number.

252583085329 is a deficient number, since it is larger than the sum of its proper divisors (1).

252583085329 is an equidigital number, since it uses as much as digits as its factorization.

252583085329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5184000, while the sum is 52.

The spelling of 252583085329 in words is "two hundred fifty-two billion, five hundred eighty-three million, eighty-five thousand, three hundred twenty-nine".